3 papers
nlin.CD2025
A new use of nonlocal symmetries for computing Liouvillian first integrals of rational second order ordinary differential equations
I. Deme, L. G. S. Duarte, L. A. C. P. da Mota
Here we present an efficient method for finding and using a nonlocal symmetry admitted by a rational second order ordinary differential equation (rational 2ODE) in order to find a…
physics.comp-ph2025
Associative Integrator
J. Avellar, L. G. S. Duarte, L. A. C. P. da Mota +1
Dynamic systems have a fundamental relevance in the description of physical phenomena. The search for more accurate and faster numerical integration methods for the resolution of s…
math-ph2024
A Linear Prelle-Singer method
L. G. S. Duarte, H. S. Ferreira, L. A. C. P. da Mota
The Prelle-Singer method allows determining an elementary first integral admitted by a polynomial vector field in the plane. It is a semi-algorithm whose nonlinear step consists of…